Many-body quantum boomerang effect

TL;DR

This paper investigates how many-body interactions influence the quantum boomerang effect across different bosonic systems, revealing partial, full, or partial effects depending on interaction strength, using advanced numerical simulations.

Contribution

It provides a comprehensive numerical analysis of the quantum boomerang effect in various many-body bosonic systems, highlighting the universality of its destruction.

Findings

Weak interactions partially destroy the boomerang effect.

The Tonks-Girardeau gas exhibits a full boomerang effect.

Strong interactions lead to a partial boomerang effect.

Abstract

We study numerically the impact of many-body interactions on the quantum boomerang effect. We consider various cases: weakly interacting bosons, the Tonks-Girardeau gas, and strongly interacting bosons (which may be mapped onto weakly interacting fermions). Numerical simulations are performed using the time-evolving block decimation algorithm, a quasi-exact method based on matrix product states. In the case of weakly interacting bosons, we find a partial destruction of the quantum boomerang effect, in agreement with the earlier mean-field study [Phys. Rev. A \textbf{102}, 013303 (2020)]. For the Tonks-Girardeau gas, we show the presence of the full quantum boomerang effect. For strongly interacting bosons, we observe a partial boomerang effect. We show that the destruction of the quantum boomerang effect is universal and does not depend on the details of the interaction between particles.